Presents the newer field of chaos in nonlinear dynamics as a natural extension of classical mechanics as treated by differential equations. Employs Hamiltonian systems as the link between classical and nonlinear dynamics, emphasizing the concept of integrability. Also discusses nonintegrable dynamics, the fundamental KAM theorem, integrable partial differential equations, and soliton dynamics.
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Presents the newer field of chaos in nonlinear dynamics as a natural extension of classical mechanics as treated by differential equations. Employs Hamiltonian systems as the link between classical and nonlinear dynamics, emphasizing the concept of integrability. Also discusses nonintegrable dynamics, the fundamental KAM theorem, integrable partial differential equations, and soliton dynamics.
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1 of 1 people found the following review helpful:
2.0 out of 5 stars
Not Good,
This review is from: Chaos and Integrability in Nonlinear Dynamics: An Introduction (Hardcover)
The CONTENT of this book is very good for an introductory level text, and is covered somewhat adequately. However, the book is horribly written, edited, and organized, making it ultimately more frustrating and worthless than useful. The reader who pays even the slightest bit of attention will notice, on average, a very glaring typo on just about every single page (perhaps a slight exaggeration). Some pages have none, some pages have 3 or 4 obvious ones. Not always just little mistakes, either - sometimes very, very serious mistakes that one wonders how anyone could have possibly typed. For someone not already familiar with the material, these blatant, and often times just plain stupid errors detract from any educational value that can be hoped for. As a college/graduate level textbook it also fails. It has no problems and no examples to illustrate any of the concepts beyond the mere fundamental aspects or statements.
How this book was released with such a poor editing job is beyond me. Any student who might make the amount of errors in a class that are contained in this book would surely fail. Find a better book and buy that one. Unfortunately I can't recommend a better one, I can only honestly comment on how poorly done this one is. Note: If later volumes are ever released (and perhaps they have been; this is a review of the first volume)then I hope that the errors have been fixed, and perhaps some examples and problems added. If this is done, then this could become a very GOOD book.
3 of 4 people found the following review helpful:
5.0 out of 5 stars
Great book !,
By
This review is from: Chaos and Integrability in Nonlinear Dynamics: An Introduction (Hardcover)
This is a very good book. Has a lot of relevant stuffs covered and it's at least light years ahead of similar books in terms of digestibility. Tightly-written yet not patronisingly simple. Check it out.
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Inside This Book
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First Sentence:
Integrating even a simple differential equation should be regarded as much more than an automatic exercise in mathematical manipulation. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
irregular spectra, unstable spiral point, semiclassical form, nonintegrable systems, global phase portrait, heteroclinic points, quantum maps, stationary phase points, improper node, irregular states, movable singularities, movable singularity, elliptic fixed point, movable poles, bounded motion, hyperbolic fixed point, spatiotemporal chaos, widespread chaos, invariant curves, inverse scattering transform, cat map, dissipative dynamical systems, twist map, successive intersections, energy shell Key Phrases - Capitalized Phrases (CAPs): (learn more)
New York, Korteweg-de Vries, Lecture Notes, Cambridge University Press, Mathematical Methods of Classical Mechanics, Van Vleck, Conference Proceedings, Fluid Mechanics, Pure Appl, Stochastic Behavior New!
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Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
Integrating even a simple differential equation should be regarded as much more than an automatic exercise in mathematical manipulation. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
irregular spectra, unstable spiral point, semiclassical form, nonintegrable systems, global phase portrait, heteroclinic points, quantum maps, stationary phase points, improper node, irregular states, movable singularities, movable singularity, elliptic fixed point, movable poles, bounded motion, hyperbolic fixed point, spatiotemporal chaos, widespread chaos, invariant curves, inverse scattering transform, cat map, dissipative dynamical systems, twist map, successive intersections, energy shell Key Phrases - Capitalized Phrases (CAPs): (learn more)
New York, Korteweg-de Vries, Lecture Notes, Cambridge University Press, Mathematical Methods of Classical Mechanics, Van Vleck, Conference Proceedings, Fluid Mechanics, Pure Appl, Stochastic Behavior New!
Books on Related Topics | Concordance | Text Stats Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
Citations (learn more)
This book cites 33
books:
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11
books
cite this book:
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- Mathematical Methods of Classical Mechanics (Graduate Texts in Mathematics) by V. I. Arnold on 4 pages
- Mechanics of the Atom by M. Born on 4 pages
- Advanced Mathematical Methods for Scientists and Engineers: Asymptotic Methods and Perturbation Theory (v. 1) by Carl M. Bender on page 41, page 117, and page 275
- Ordinary Differential Equations (Universitext) by Vladimir I. Arnold on page 41, and page 117
- Introduction to Dynamics by I. C. Percival on page 88, and page 117
See all 33 books this book cites
- Classical and Quantum Dynamics: From Classical Paths to Path Integrals (Advanced Texts in Physics) by Walter Dittrich in Back Matter
- Method of Normal Forms (Wiley Series in Nonlinear Science) by Ali Hasan Nayfeh in Back Matter
- Numerical Analysis: A R Mitchell 75th Birthday Volume by A. R. Mitchell on page 370
- Chaos by Kathleen T. Alligood in Back Matter
- Computational Gasdynamics by Culbert B. Laney on page 115
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